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151644042 = 23311594327
BaseRepresentation
bin10010000100111…
…10011110001010
3101120100022112000
421002132132022
5302310102132
623014131430
73520644624
oct1102363612
9346308460
10151644042
1178665460
1242950b76
1325556304
14161d5c14
15d4a687c
hex909e78a

151644042 has 64 divisors (see below), whose sum is σ = 373939200. Its totient is φ = 45163440.

The previous prime is 151644013. The next prime is 151644047. The reversal of 151644042 is 240446151.

151644042 is a `hidden beast` number, since 15 + 1 + 644 + 0 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 151643997 and 151644015.

It is not an unprimeable number, because it can be changed into a prime (151644047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32883 + ... + 37209.

It is an arithmetic number, because the mean of its divisors is an integer number (5842800).

Almost surely, 2151644042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151644042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186969600).

151644042 is an abundant number, since it is smaller than the sum of its proper divisors (222295158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151644042 is a wasteful number, since it uses less digits than its factorization.

151644042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 151644042 is about 12314.3835412090. The cubic root of 151644042 is about 533.2634081068.

The spelling of 151644042 in words is "one hundred fifty-one million, six hundred forty-four thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 99 118 177 198 297 354 531 594 649 1062 1298 1593 1947 3186 3894 4327 5841 8654 11682 12981 17523 25962 35046 38943 47597 77886 95194 116829 142791 233658 255293 285582 428373 510586 765879 856746 1285119 1531758 2297637 2570238 2808223 4595274 5616446 6892911 8424669 13785822 16849338 25274007 50548014 75822021 151644042